In this paper, a new fractional operator of variable order with the use of the monotonic
increasing function is proposed in sense of Caputo type. The properties in term of the …

In the last few years there is a remarkable progress of research in machine learning. This
field has gained an unprecedented popularity, several new areas have developed and …

Abstract Recently, Shehu Maitama and Weidong Zhao proposed a new integral transform,
namely, Shehu transform, which generalizes both the Sumudu and Laplace integral …

In this article, the general fractional‐order diffusion equations within the negative Prabhakar
kernel are considered for the first time. With the aid of the Laplace transform, the series …

In this paper, we apply the Fractional Adams-Bashforth-Moulton Method for obtaining the
numerical solutions of some linear and nonlinear fractional ordinary differential equations …

A Review on Integral Transforms of Fractional Integral and Derivative Page 1 52 DOI:10.9756/IAJSE/V9I2/IAJSE0914
Received:22 June 2022/Accepted:15 July 2022/Published:30 July 2022 International …

In this manuscript we establish the expressions of the Shehu transform for fractional
Riemann-Liouville and Caputo operators. With the help of this new integral transform we …

We introduce the rudiments of fractional calculus and the consequent applications of the
Sumudu transform on fractional derivatives. Once this connection is firmly established in the …

In this study, we introduced a novel scheme to attain approximate and closed‐form solutions
of conformable Newell‐Whitehead‐Segel (NWS) equations, which belong to the most …

The pivotal proposal of this work is to present a reliable algorithm based on the local
fractional homotopy perturbation Sumudu transform technique for solving a local fractional …